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Finding the Third Proportional to 101.38 and 153.06

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Solution

The third proportional to 101.38 and 153.06 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 153.06 = 153.06 : x
  2. Step 2: Convert to fraction form
    101.38/153.06 = 153.06/x
  3. Step 3: Cross multiply
    101.38x = 153.06 × 153.06
  4. Step 4: Simplify right side
    101.38x = 23,428.13
  5. Step 5: Solve for x
    x = 23,428.13/101.38
  6. Step 6: Final answer
    x = 231.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.